415181376 has 105 divisors (see below), whose sum is σ = 1235091891. Its totient is φ = 137904768.

The previous prime is 415181341. The next prime is 415181387. The reversal of 415181376 is 673181514.

The square root of 415181376 is 20376.

It is a perfect power (a square), and thus also a powerful number.

415181376 is a `hidden beast` number, since 4 + 1 + 518 + 137 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (20160) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 415181376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1466931 + ... + 1467213.

Almost surely, 2^415181376 is an apocalyptic number.

415181376 is the 20376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415181376

415181376 is an abundant number, since it is smaller than the sum of its proper divisors (819910515).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415181376 is an frugal number, since it uses more digits than its factorization.

415181376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 288 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The cubic root of 415181376 is about 746.0122426337.

Multiplying 415181376 by its sum of digits (36), we get a square (14946529536 = 122256²).

415181376 divided by its sum of digits (36) gives a square (11532816 = 3396²).

The spelling of 415181376 in words is "four hundred fifteen million, one hundred eighty-one thousand, three hundred seventy-six".